All categories

2 years ago

An executive is earning $45,000 per year. This is

1 answer:

4 0

Her salary 4 years ago would have been $30,000.

If 45,000 is 15,000 less than double her previous salary, we must first add 15,000 to 45,000 to find what double her salary was.

45,000+15,000=60,000.

Since this is twice her salary, we divide this by 2.

60,000/2= 30,000.

So, her salary 4 years ago would have been $30,000.

I hope this helps!

You might be interested in

I need help on completing this

Allushta [10]

I don’t know I need points

7 0

3 years ago

What is 2/5 + 7/15 ?

Whitepunk [10]

Answer:

Decimal Form: 0.86

Not sure if you would've preferred a step-by-step solution. Sorry! Hope you find this helpful, good luck!

3 0

3 years ago

Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

Using this midpoint find the missing coordinate.

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0

3 years ago

Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the

harina [27]

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8 (the sum is equal to 8)

x - y = -14 (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11 = -3

Then the solution to the system is:

x = -3 and y = 11

3 0

3 years ago

In ΔDEF, the measure of ∠F=90°, the measure of ∠E=32°, and FD = 9.6 feet. Find the length of EF to the nearest tenth of a foot.

NeX [460]

Answer:

$EF=15.4\ ft$

Step-by-step explanation:

we know that

In the right triangle DEF

$tan(E)=\frac{FD}{EF}$ ----> by TOA (opposite side divided by adjacent side)

substitute the given values

$tan(32^o)=\frac{9.6}{EF}$

solve for EF

$EF=\frac{9.6}{tan(32^o)}=15.4\ ft$

6 0

3 years ago

Read 2 more answers